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Finding the Fourth Proportional to 6,278.31, 9,419.09 and 5,408.78

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Solution

The fourth proportional to 6,278.31, 9,419.09 and 5,408.78 is: 8,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.31 : 9,419.09 = 5,408.78 : x
  2. Step 2: Convert to fraction form
    6,278.31/9,419.09 = 5,408.78/x
  3. Step 3: Cross multiply
    6,278.31x = 9,419.09 × 5,408.78
  4. Step 4: Simplify right side
    6,278.31x = 50,945,711.47
  5. Step 5: Solve for x
    x = 50,945,711.47/6,278.31
  6. Step 6: Final answer
    x = 8,114.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.